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Finding the Fourth Proportional to 379,146.96, 523,218.60 and 209,377.68

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Solution

The fourth proportional to 379,146.96, 523,218.60 and 209,377.68 is: 288,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,146.96 : 523,218.60 = 209,377.68 : x
  2. Step 2: Convert to fraction form
    379,146.96/523,218.60 = 209,377.68/x
  3. Step 3: Cross multiply
    379,146.96x = 523,218.60 × 209,377.68
  4. Step 4: Simplify right side
    379,146.96x = 109,550,296,600.85
  5. Step 5: Solve for x
    x = 109,550,296,600.85/379,146.96
  6. Step 6: Final answer
    x = 288,938.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.